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4. Determine lim f(x), lim_ f(x), and lim f(x) for the given piecewise function and given ₂+ x→a x→a x→a value of a. (The answer can be a real number, +∞o, -∞ or "does not exist.") Determine whether f(x) is continuous at x = a. a. a = 1 and f(x) = 3x² 2x 3 1 if x # if x || 2

4. Determine lim f(x), lim_ f(x), and lim f(x) for the given piecewise function and given ₂+ x→a x→a x→a value of a. (The answer can be a real number, +∞o, -∞ or "does not exist.") Determine whether f(x) is continuous at x = a. a. a = 1 and f(x) = 3x² 2x 3 1 if x # if x || 2

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4. Determine lim f(x), lim f(x), and lim f(x) for the given piecewise function and given + x→a x→a x→a value of a. (The answer can be a real number, +∞, -∞ or "does not exist.") Determine whether f(x) is continuous at x = a. = 1/1/20 a. a = and f(x)= b. a = 1 and f(x) = - c. a = -2 and f(x) = d. a 3 and f(x) = - 3x² 2x - 1 3 x² + 2 4-x 1 3 X- 1 x + 2 x 3 x + 2 x²+x-2 - x2 x+1 x + 3 if x # 3x if x = if x ≥ 1 if x < 1 1 2 1 2 if x < -2 if x = -2 if x>-2 if x > 3 if x ≤ 3
Transcribed Image Text:4. Determine lim f(x), lim f(x), and lim f(x) for the given piecewise function and given + x→a x→a x→a value of a. (The answer can be a real number, +∞, -∞ or "does not exist.") Determine whether f(x) is continuous at x = a. = 1/1/20 a. a = and f(x)= b. a = 1 and f(x) = - c. a = -2 and f(x) = d. a 3 and f(x) = - 3x² 2x - 1 3 x² + 2 4-x 1 3 X- 1 x + 2 x 3 x + 2 x²+x-2 - x2 x+1 x + 3 if x # 3x if x = if x ≥ 1 if x < 1 1 2 1 2 if x < -2 if x = -2 if x>-2 if x > 3 if x ≤ 3
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